Answer:
The solution is g = 4
Step-by-step explanation:
* 6(-2g - 1) = -(13g + 2)
- We need to solve it to find the value of g
- Let us simplify each side and then solve the equation
∵ 6(-2g - 1) = (6)(-2g) - (6)(1)
∴ 6(-2g - 1) = -12g - 6
∴ The simplify of 6(-2g - 1) is -12g - 6 ⇒ (1)
∵ -(13g + 2) = -13g - 2
∴ The simplify of -(13g + 2) is -13g - 2 ⇒ (2)
- Equate (1) and (2)
∴ -12g - 6 = -13g - 2
- Add 13g to both sides
∴ g - 6 = - 2
- Add 6 to both sides
∴ g = 4
* The solution is g = 4
Answer:
The pentagon MNPQR has a perimeter of 22 units.
Step-by-step explanation:
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
(1)
(1b)
If we know that
,
,
,
and
, then the perimeter of the pentagon MNPQR is:



The pentagon MNPQR has a perimeter of 22 units.
Answer:
C) 42.14 cm²
Step-by-step explanation:
<u>Recall the area formulas for a square and circle:</u>
Area of square: A=s²
Area of circle: A=πr²
<u>Given:</u>
π=3.14
s=14
r=s/2=14/2=7
Therefore, the area of the square is A=14²=196 cm²
The area of the two semicircles is A=3.14(7)²=3.14(49)=153.86 cm²
Find the difference between the two areas to get the shaded area:
196 - 153.86 = 42.14
Therefore, the shaded area is 42.14 cm², making C the correct choice.
Answer:

Step-by-step explanation:
Given

Required
Find a:b

Cross Multiply

Open brackets

Collect Like Terms


Divide through by -b



Represent as a ratio
